[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 30, 3 ] = PS(6,5;2).

(I) Following is a form readable by MAGMA:

g:=Graph<30|{ {9, 11}, {20, 22}, {5, 6}, {25, 26}, {20, 23}, {8, 11}, {2, 6}, {25, 29}, {24, 28}, {3, 7}, {9, 12}, {19, 22}, {1, 7}, {24, 30}, {19, 21}, {10, 12}, {8, 15}, {18, 21}, {10, 13}, {16, 23}, {6, 14}, {17, 25}, {7, 15}, {16, 24}, {7, 14}, {17, 24}, {2, 8}, {23, 29}, {22, 28}, {3, 9}, {1, 10}, {21, 30}, {18, 25}, {6, 13}, {4, 8}, {23, 27}, {22, 26}, {5, 9}, {4, 10}, {21, 27}, {3, 26}, {5, 28}, {11, 17}, {14, 20}, {1, 29}, {2, 30}, {12, 16}, {13, 17}, {14, 18}, {15, 19}, {1, 28}, {3, 30}, {4, 26}, {5, 27}, {12, 18}, {13, 19}, {2, 29}, {4, 27}, {11, 20}, {15, 16} }>;

(II) A more general form is to represent the graph as the orbit of {9, 11} under the group generated by the following permutations:

a: (3, 15)(4, 24)(5, 13)(8, 30)(9, 19)(10, 28)(11, 21)(12, 22)(16, 26)(17, 27)(18, 20)(23, 25)
b: (1, 2)(3, 5)(6, 7)(8, 10)(11, 12)(13, 15)(16, 17)(18, 20)(21, 22)(23, 25)(26, 27)(28, 30)
c: (1, 6)(2, 7)(3, 30)(4, 19)(5, 28)(8, 15)(9, 24)(10, 13)(11, 16)(12, 17)(14, 29)(18, 25)(20, 23)(21, 26)(22, 27)
d: (2, 3, 24)(4, 12, 13)(5, 25, 15)(6, 26, 16)(7, 28, 29)(8, 9, 17)(14, 22, 23)(18, 19, 27)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

**************

&Graph
C4[ 30, 3 ]
30
-1 28 7 29 10
-2 6 29 8 30
-3 26 7 30 9
-4 26 27 8 10
-5 27 6 28 9
-6 2 13 14 5
-7 1 3 14 15
-8 11 2 4 15
-9 11 12 3 5
-10 1 12 13 4
-11 17 8 9 20
-12 16 18 9 10
-13 6 17 19 10
-14 6 7 18 20
-15 16 7 8 19
-16 12 23 24 15
-17 11 13 24 25
-18 12 14 25 21
-19 22 13 15 21
-20 11 22 23 14
-21 27 18 19 30
-22 26 28 19 20
-23 16 27 29 20
-24 16 17 28 30
-25 26 17 18 29
-26 22 3 25 4
-27 23 4 5 21
-28 22 1 24 5
-29 1 23 2 25
-30 2 24 3 21
0

**************